the volume of the pot.
solution:bolume of a triangular prism= BH
area of a triangle= 1 / 2 × base × height
B = 1 / 2 × b × h
b = 3 units
h = 5 units
B = 1 / 2 × 3 × 5
B = 15 / 2
B = 7.5 units²
H = 26 units
B = 7.5 units²
V = 7.5 × 26
V= 195 unit³
so, the volume of the pot is 195 unit³.
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
Step-by-step explanation:
Pythagoteon Theorem:
[tex]a^2+b^2=c^2[/tex]
So:
[tex]a^2+2^2=4^2[/tex]
[tex]a^2+4=16[/tex]
[tex]a^2=12[/tex]
[tex]\sqrt{a} = \sqrt{12}[/tex]
[tex]a = 3.464101615[/tex]
Help, please! It's all in the screenshot
Answer:
cube root of 9. the third option
Step-by-step explanation:
x^3 = 9
we take the cube root of both sides.
so x = cube root of 9
Sarah spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F. Between noon and 3pm, the temperature went up 12.1°F. Between 3pm and 6pm, the temperature dropped 5.5°F. What was the temperature at 6pm?
Using a system of equations, it is found that the temperature at 6pm was of -0.6 ºF.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F, hence the temperature at noon was of -9.2 + 2 = -7.2ºF.
Between noon and 3pm, the temperature went up 12.1°F, hence at 3 pm, the temperature was of -7.2 + 12.1 = 4.9 ºF.
Between 3pm and 6pm, the temperature dropped 5.5°F, hence the temperature at 6 pm was of 4.9 - 5.5 = -0.6 ºF.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Solve each system of equations below. Write your solution in the form (x,y). Check your solution.
a) 3x - y = 14
x = 2y + 8
x = 2y+8
Step-by-step explanation:
3x-y = 14
3(2y+8)-y = 14
6y+24-y = 14
5y = 14-24
y = -10/5
y = -2
now,
x = 2y +8
x = 2(-2)+8
x = 4
Therefore, the value of x is 4 and y is -2.
Evaluate the expression y-3+2 when x = 6 and y=8
Answer:
7
Step-by-step explanation:
Hey there!
In order to answer this question you need to substitute the "y-value"
As you can see, y=8 and we need to put 8 where there is y
8-3+2 is what the equation will look like
Now we can simplify
8-3 is 5 and 5+2 is 7
So your answer is 7
a cake has a radius of 14cm. what is the area of the cake
Step-by-step explanation:
radius = 14cm
area of circle = [tex]\pi[/tex]r^2
= 22/7 *(14)^2
= 616 cm^2
Answer:
196π cm² or 615.44 cm²
Step-by-step explanation:
Area of a circle: πr²π = 3.14r (radius) = 14 cmSubstitute:
A = πr²
A = 3.14*14²
A = 3.14*196
A = 615.44 cm²
Therefore, the area of the cake is 196π cm² or 615.44 cm²
Hope this helps!
6. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a height of 8 cm. The pyramid has a height of 14 cm. Find the volume of the composite space figure.
Answer:
V = 682.66667
Step-by-step explanation:
What equation has the solution x=8?
Answer:
X/4 = 2
X=8
8 divided by 4 is 2 and 4x2 is 8
Use conversions to solve the problem. Kevin wants to edge his garden with brick. All sides are equal. The brick costs $6 per yard. What is the perimeter of the garden? How much will it cost to buy the edging he needs?
A security system company wants to know whether there are differences in the time of day of residential and commercial burglaries. They read the records from a randomly selected sample of 60 6060 of the 830 830830 residential burglaries and 60 6060 of the 447 447447 commercial burglaries in the past year from their town database. Suppose that 65 % 65%65, percent of the residential burglaries and 31 % 31%31, percent of the commercial burglaries happened during the day. The company plans to look at the difference ( p ^ R − p ^ C ) ( p ^ R − p ^ C )left parenthesis, p, with, hat, on top, start subscript, start text, R, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, C, end text, end subscript, right parenthesis between the proportions of daytime burglaries in each sample
Answer:
we cannot assume independence for the burglaries sampled from commercial burglaries. (C)
Step-by-step explanation: KHAN KNOWS ALL
helpp Its for calculus
Answer:
its 18
Step-by-step explanation:
Answer:
the answer is 18
Step-by-step explanation:
What is the surface area?
l×d×h
= 9m×4m×5m
= 180m²
i dont know how to do this stuff
I don't know how to do this stuff
Help me
Question
Find mHK⌢.
Answer:
62
Step-by-step explanation:
(x+8)=(2x-15)
8=x-15
+15 +15
23=x
so
23 +8 = 31
23x2-15 = 46-15 =31
Both are the same always since one side is equal to the other
Therefore
62 is the answer!
50 POINTS PLEASE ANSWER!
Solve it through arithmetic sequence
First term=a=17Common difference=d=-3Rule is
a_n=a+(n-1)d=17-3(n-1)So
a_2=17-3=14a_3=17-6=11a_4=17-9=8Answer:
[tex]14 \\ 11 \\ 8[/tex]
Find the area of each figure.
20 points
Answer:
purple shape= 1824 inches squared
For the green rhombus:
Answer: 3 ft^2
Explanation:
you can add a line HA to split the rhombus into two triangles
Area of each triangle
= (2 x 1.5) / 2
= 1.5 ft^2
As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2
Write the equation of the line that passes through the points (2,-4) and (4,2) in slope-intercept form.
Answer:
Slope Intercept Form: y=3x-10
Step-by-step explanation:
First, we need to solve the slope.
The formula: y2-y1/x2-x1 = m
Coordinate Points:
(2, -4) ; (4,2)
Do 2 - (-4) for the y's and 4-2 for the x's
Formula: 2-(-4)/4-2
2 - (-4) is a positive answer since the negatives cancel to a positive.
That shall be 6.
4-2 = 2
Now we have 6/2 which means 6 divided by 2 which is 3.
Our slope is 3.
Slope-Intercept Formula: y=mx+b
Our "m" is 3
y = 3x + b
Our b which is the y-intercept is undefined.
We need to plug one of the coordinates into the formula to find it.
Plug (2,-4) into the formula.
-4 = 3(2) +b
Do 3 x 2 first
-4 = 6 + b
Now subtract 6 on both sides
-6-4 = b
Our y-intercept is -10 because negative subtracted by negatives is an addition number followed by the greater number's sign.
Formula: y=3x-10
Answer:
y = 3x - 10
Step-by-step explanation:
To determine the line that passes through the points (2, -4) and (4, 2), we need to determine the slope of the line. Then, using the slope of the line and any point, we can determine the equation of the line using point slope form.
How to determine the slope of the line?
The slope of the line can be determined by using the formula (y₂ - y₁)/(x₂ - x₁), where x₂ and y₂ are the coordinates of the second point; x₁ and y₁ are the coordinates of the first point.
Determining the slope of the line:[tex]\implies\large\text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
In this case, our first point and second point are (2, -4) and (4, 2) repectively as stated in the question. Therefore,
Point₁ = (x₁, y₁) = (2, -4) ⇒ x₁ = 2 y₁ = -4Point₂ = (x₂, y₂) = (4, 2) ⇒ x₂ = 4 y₂ = 2When we substitute the following into the formula, we obtain;
[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 }[/tex]
When we perform subtraction, we obtain;
[tex]\implies\large\text{Slope} = \dfrac{2- (-4)}{4 - 2 } = \dfrac{2 + 4}{2 } = \dfrac{6}{2}[/tex]
Which when simplified, we get;
[tex]\implies\large\text{Slope} = \dfrac{6}{2} = 3[/tex]
Determining the equation of the line:As said above, to determine the equation of the line with the slope and a point given, we can use point slope form. The chosen point must be on the line. The question states that "the line that passes through the points (2,-4) and (4, 2)". Therefore, we can tell that (2,-4) and (4, 2) are points that are on the line. Let's choose (4, 2) as our chosen point.
Chosen point: (4, 2)Now, let's substitute the slope of the line and the coordinates of the chosen point in the point slope form equation.
⇒ Point slope form: y - y₁ = m(x - x₁)⇒ Point slope form: y - 2 = 3(x - 4)Finally, let's simplify the point slope equation and convert it into slope intercept form (as stated in question).
⇒ Point slope form: y - 2 = 3x - 12The slope intercept form states that;
Slope intercept form: y = (m)x + (b)We can see that the "y" variable is isolated on one side of the equation [y = (m)x + (b), Slope intercept form equation]. Thus, we need to isolate the y-variable in y - 2 = 3x - 12 to obtain our equation in slope intercept form. This can be done by adding 2 to both sides of the equation.
⇒ y - 2 + 2 = 3x - 12 + 2⇒ y = 3x - 10Therefore, the equation in slope intercept form is y = 3x - 10.
ANSWER ASAP PLS! WILL GIVE MAX PTS Three times x is 13 less than y. The sum of x and two times y is 12. Write two equations and graph to find the value of y.
Group of answer choices
y = -2
y = 2
y = 7
y = -7
Solution For Given Question
Three times x is 13 less than y
[tex]3x = y - 13 \\ = > 3x + 13 = y[/tex]
The sum of x and two times y is 12.
[tex]x + 2y = 12[/tex]
Replacing Value of Y with 3x + 13
[tex]x + 2y = 12 \\ \\ \implies x + 2(3x + 13) = 12 \\ \\ \implies x + 6x + 26 = 12 \\ \\ \implies7x = 12 - 26 \\ \\ \implies 7x = - 14 \\ \\ \implies x = \cancel\frac{ - 14}{7} \\ \\ \implies x = - 2[/tex]
Now we need to fine Value of'y' i e.,
[tex]y = 3x + 13 \\ \\ \implies y = 3( - 2) + 13 \\ \\ \implies y = - 6 + 13 \\ \\ \implies y = 7[/tex]
[tex] \therefore \text{option c.(y = 7) is your answer}[/tex]
Hope this helps4. The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
1. 6
2. 8
3. 7
4. 9
Answer:
7 The answer is no. 3 because it is more than the others
gary goes to the grocery store to but hot dogs and hamburgers for a cookout. He buys a total of 8 packages for a total of $28.52. A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.
Answer:
3 hamburger packs
5 hot dog packs
Step-by-step explanation:
Knowing that:
Gary buy ⇒ 8 packages for a total of $28.52
A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.
Solving:
Let the Hotdogs = HD
Let the Hamburgers = HB
HD + HB = 8
2.29HB + 5.69HB = 28.52
Hotdogs (HD) = 2.29
Hamburgers (HB) = 5.69
Total ( 8) = 28.52
Since we now know that
Hotdogs (HD) = 2.29
Hamburgers (HB) = 5.69
Thus,
2.29x5 = 11.45
5.69 x 3=17.07
17.07 + 11.45 = 28.52
Thus, gray buy
3 hamburger packs
5 hot dog packs
~[DiscordUser]~
(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)
Answer:
A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)
Here c divide AB line in the ratio of 1:2
From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)
and y=(m1×y2+m2×y1)/(m1+m2)
where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;
so x=(3+4)/3
or, x=7/3;
y=(-2-6)/3
or, y=-8/3;
so, oc=√((0-7/3)²+(0-(-8/3))²)
oc=3.54
Please help me with this please and thank you please actually help me with this please
Answer:
easy ok first 0 -3 1 -4 2 -5
Step-by-step explanation:
ask me another
Jared lost a total of $96 over the last 12 months. What integer represents the mean number of dollars lost each month?
Answer:
-8
Step-by-step explanation:
To find mean, average, divide.
-96/12
-8
If you put $5000 in a savings account that
pays 2% annual interest, the amount
of money you will have at the end of the year
is?
Answer:
$5100.
Step-by-step explanation:
2% annual interest is the same as multiplying a number by 0.02, then adding that number to the original number. Using this information, we can do the following steps:
5000 x 0.02 = 1005000 + 100 = 5100You will have $5100 at the end of the year.
Answer:
$5100
Step-by-step explanation:
$5000 is put into the account originally. If you multiply this number by 0.02 you will get your answer. All the best. -Crispin
If the solids above are dice being measured for production, which of the
solids above uses the best units?
A Solid A
B. Solid B
C. Solid C
Help quickly please!!
Answer:
solid A
Step-by-step explanation:
I'm sorry for late
Answer:
Step-by-step explanation:
Happy Ramadan!
Hope this help :)
What is the measure of the given angle in radians
Answer:
[tex]\frac{11\pi }{6}[/tex]
Step-by-step explanation:
To convert an angle from degrees to radians, you need to multiply the degrees by [tex]\frac{\pi }{180}[/tex].
[tex]\frac{330}{1}[/tex] × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{330\pi }{180}[/tex]
[tex]\frac{330\pi }{180}=\frac{11\pi }{6}[/tex]
5)Find the mean, median, mode, range, first quartile, third quartile, and the interquartile range for
each data set given. Is the data skewed?
a. 7, 12, 1, 7, 6, 5, 11, 10, 14, 16, 16, 8, 9, 11, 12, 3
b. 85, 105, 95, 90, 115, 10, 8, 7, 5, 9, 10, 7
Answer:
See belowStep-by-step explanation:
DefinitionsMean - average numberMedian - the middlepoint of the data setMode - the most repeated data in the setRange - the difference between the minimum and maximum values of data setFirst quartile - Q1, the median of the lower half of the data setThird quartile - Q3, the median of the upper half of the data setIQR - the difference of Q3 and Q1Step 1Put the data in the ascending order
a) 1, 3, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 14, 16, 16b) 5, 7, 7, 8, 9, 10, 10, 85, 90, 95, 105, 115Step 2Find all the numbers
a)
Mean = (1+3+ 5+ 6+ 7+ 7+ 8+ 9+ 10+ 11+ 11+ 12+ 12+ 14+ 16+ 16)/16 = 9.25Median = (9 + 10)/2 = 9.5Mode = noneRange = 16 - 1 = 15Q1 = (6 + 7)/2 = 6.5Q3 = 12IQR = 12 - 6.5 = 5.5The data is almost uniform as the mean and median are very closeb)
Mean = (5+ 7+ 7+ 8+ 9+ 10+ 10+ 85+ 90+ 95+ 105+ 115)/12 = 45.5Median = 10Mode = noneRange = 115 - 5 = 110Q1 = (7 + 8)/2 = 7.5Q3 = (90 + 95)/2 = 92.5IQR = 92.5 - 7.5 = 85The data is skewed left as the mean and median are too differenetcan someone help me.
Answer:
D. 75 m²
Step-by-step explanation:
l = 15m
b = 5m
area of rectangle = l × b = 15 × 5 = 75 m²
-
4. Which shows the solution to the
inequality? 6(x-2) +21 <39
A box is 24 inches long, 36 inches wide,
and 48 inches tall. What is the volume
of the box in cubic feet?
A. 3456 ft3
B. 288 ft3
C. 144 ft3
D. 24 ft